What are the domain and range of the function f(x)=(√x-7)+9?

Question

asked Aug 10, 2020 117k views

2 Answers

Ningrong Ye · Answer 1 · 2020-08-15T11:59:53+0000

Answer:

the domain of the function f(x) is
$x\ge 7$

the range of the function f(x) is
$f(x)\ge 9$

Explanation:

Consider the parent function
y=√(x).

The domain og this function is
$x\ge 0,$ the range of this function is
$y\ge 0.$

The function
f(x)=√(x-7)+9 is translated function
y=√(x) 7 units to the right and 9 units up, so

the domain of the function f(x) is
$x\ge 7$

the range of the function f(x) is
$f(x)\ge 9$